Excerpt from Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances, Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic Operations

What, however, has been so successfully effected in other departments of mathematics has not yet been attempted with re d to Trigonometry. We have some excellent war on this subject, whose value it would ill become me to depreciate. But such of them us go extensively into the business of Trigonometry and its applications are too large and expensive for general circulation; while others, being confined almost en tirely to the elements, exclusive of the applications, must of necessity be restricted, both in point of circu lation and utility. There is one treatise, that of Emerson, which is a most copious store-house of curious and ele gant theorems: but they are so obscured by a defective notation, that the perusal of greater part of the book must, to a mathematical student, he as perplexing as the solution of a perpetual string of enigmss.

It has been my aim to steer into a middle course, between that in which is resented a mere common place book of principles a theorems, and that which.

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